By contrast, many methods focus on measurement error in specific models with an emphasis on producing consistent estimators. Consistency is a desirable property which often comes at the cost of specific model assumptions and complex implementation, thus limiting the scope of application. Violations of these assumptions may leave the methods with limited utility or render them entirely useless [1]}, [2]}, [3]}. Certain consistent methods, such as moment reconstruction [4]}, make similar assumptions regarding replication, and we extend our techniques to them as well.
